1000110100001 has 16 divisors (see below), whose sum is σ = 1035323496960. Its totient is φ = 965647725120.

The previous prime is 1000110099997. The next prime is 1000110100007. The reversal of 1000110100001 is 1000010110001.

It is a cyclic number.

It is not a de Polignac number, because 1000110100001 - 2² = 1000110099997 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1000110100007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233876 + ... + 1433498.

It is an arithmetic number, because the mean of its divisors is an integer number (64707718560).

Almost surely, 2^{1000110100001} is an apocalyptic number.

It is an amenable number.

1000110100001 is a deficient number, since it is larger than the sum of its proper divisors (35213396959).

1000110100001 is a wasteful number, since it uses less digits than its factorization.

1000110100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1199936.

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 1000110100001 its reverse (1000010110001), we get a palindrome (2000120210002).

The spelling of 1000110100001 in words is "one trillion, one hundred ten million, one hundred thousand, one".